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Pointwise convergence of vector-valued Fourier series
Pointwise convergence vector-valued Fourier series Functional Analysis
2012/5/24
We prove a vector-valued version of Carleson's theorem: Let Y=[X,H]_t be a complex interpolation space between a UMD space X and a Hilbert space H. For p\in(1,\infty) and f\in L^p(T;Y), the partial su...